1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AVprozaik [17]
2 years ago
13

Can someone who is good at math help me plssssss

Mathematics
1 answer:
pishuonlain [190]2 years ago
6 0

Answer:

angle DBC = 20 degrees

Step-by-step explanation:

We know that ABC is an isosceles triangle, therefore angle ACB = 80 as:

180 - 20 = 160

160/2 = 80

Now, the next few parts, you need to draw on paper to understand:

  • First, draw an isosceles triangle with the base of it on AD, and label the angles as (80, 80 and 20) on the right hand side. Also, label the top vertex of this triangle as X.
  • Then on the left hand side, draw an equilateral triangle with the base as AB, with the top vertex pointing to the top left, and label all the angles as  60 as it is equilateral. Also, label the top of this vertex as Y.
  • Now you should be able to see a large 5-sided shape with the vertexes of YAXDB.
  • We can label angle CDB as 80 because triangle BDC is an isosceles, therefore the bases are the same.
  • We can work out angle ADB as angles in a straight line add up to 180:  180 - 80 = 100.
  • Label angle ADB as 100
  • We can find the sum of the interior angles of a 5 sided shape with:          (n - 2) x 180 which if we input n = 5, we get 540.
  • Add up all the angles in the 5-sided shape, which will leave out ABD (from angle BYA clockwise):

60 + 60 + 20 + 80 + 20 + 80 + 100 + 60 = 480

  • Now we just need to work out what angle ABD is by subtracting 480 from the sum of interior angles (540) which gets: 60
  • From earlier on, we know angle ABC = 80 as the ABC triangle is isosceles, to work out what angle DBC is, we just need to do the final calculation:

80 - 60 = 20

and there's your final answer.

You might be interested in
Find g^-1(x) <br><br> A<br> B<br> C<br> D
Katyanochek1 [597]
<h2>Answer:</h2>

a. \ g^{-1}=-1 \pm\sqrt{\frac{3}{x}+1}

<h2>Step-by-step explanation:</h2>

A function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point. So the function is called one-to-one. The graph of g is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find g^-{1}(x):

g(x)=\frac{3}{x^2+2x} \\ \\ Substitute \ g(x) \ by \ y \\ \\y=\frac{3}{x^2+2x} \\ \\ Interchange \ x \ and \ y: \\ \\ x=\frac{3}{y^2+2y} \\ \\ Solve \ for \ y: \\ \\y^2+2y=\frac{3}{x} \\ \\ Completing \ square \\ \\y^2+2y\mathbf{+ 1}\mathbf{-1}=\frac{3}{x} \\ \\(y+1)^2=\frac{3}{x}+1 \\ \\y+1=\pm\sqrt{\frac{3}{x}+1} \\ \\ y=-1 \pm\sqrt{\frac{3}{x}+1}

Finally, substitute y \ by \ g^{-1}:

boxed{g^{-1}=-1 \pm\sqrt{\frac{3}{x}+1}}

7 0
2 years ago
12x=4(x-5) then x equals?
exis [7]
12x=4(x-5)

distributive property to get rid of parenthesis     12x=4x-20

subtract x from one side to get the variable on one side       8x=-20

divide 8 by -20

x=-2.5
8 0
2 years ago
Read 2 more answers
What is 7/4 times by 7/3
ehidna [41]

Answer:

49/12

Step-by-step explanation:

you multiply the top number by the second top number and the bottom number by the second bottom number so 7 x 7 = 49 and 4 x 3 = 12, so the answer is 49/12

7 0
3 years ago
Item 10
vfiekz [6]

Answer:

21 Students

Step-by-step explanation:

140 x .15 = 21

5 0
3 years ago
Find the cosine of each acute angle
Lemur [1.5K]

Answer:

cos P = 53 degrees

cos Q = 37 degrees

Step-by-step explanation:

cos P = \frac{adjacent}{hypothenuse}

cos P = \frac{24}{40}

cos P = 0.60

Cos-1 of 0.60 is 53.13 (round to the nearest whole number)

cos P = 53 degrees

cos Q = \frac{adjacent}{hypothenuse}

cos Q = \frac{32}{40}

cos Q = 0.80

Cos of 0.80 is 36.86 (round to the nearest whole number)

cos Q = 37 degrees

To check anser:

90 + 53 + 37 = 180

180 = 180

4 0
2 years ago
Other questions:
  • FIND ST OF THIS CIRCLE.
    6·1 answer
  • You have 4/6 cups or brown sugar the recipe for a dessert calls for 2/5 cup of brown sugar how much sugar would you have left if
    9·1 answer
  • A rectangular prism is 3 units high, 2 units wide, and 5 units long. What is its surface area
    6·1 answer
  • How do I do standard form with variables and things??
    11·1 answer
  • Find the sum and express it in simplest Form (3a^2+2a+8)+(5a^2-a)
    8·1 answer
  • Pls help, <br><br> 6(d+1)−2d=54
    8·1 answer
  • What is 2 3/7 divided 5 1/5
    6·1 answer
  • Manuel and Peter are standing 12 ft. apart from each other and looking up at a kite that is
    5·1 answer
  • If EF = 2x – 11, FG = 4x - 16, and EG = 27, find the
    10·1 answer
  • 3(x + y) + 2x2 + (1 + y)?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!